Question 124

A factor of $$2x^4 - 3x^2 + 2x - 1$$, among the following is

Solution

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Applying remainder theorem or performing actual division/factorization is the theoretical approach in such questions. 

However, one can perform a quick addition of the coefficients and see that their sum = 0
This is one of the most basic tests and it means that (x-1) is a factor of the given polynomial. 

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